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Journal of Lie Theory 12 (2002), No. 1, 015--030
Copyright Heldermann Verlag 2002

An Explicit Construction of the Metaplectic Representation over a Finite Field

Markus Neuhauser
Zentrum Mathematik, Technische Universität, Arcisstrasse 21, 80290 München, Germany

This paper deals with the metaplectic representation of Sp(n,K), where K is a finite field. We give an explicit, elementary and largely self-contained construction of the metaplectic representation over finite fields of characteristic not equal to 2. The important steps of the construction will be given for a system of generating elements of Sp(n,K).

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